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本文是随机海浪二阶非线性特征量研究的第一部分。在精确导出任意均匀水域上三维随机波动一阶解、二阶解的基础上,更严密、更合理地重新推导了波面高度分布的编度与二阶功率谱的理论表达式,并首次给出了有限水深波面二阶谱的理论形式。
This paper is the first part of the research on second-order nonlinear characteristics of random waves. On the basis of accurately deriving the first-order and the second-order solutions of the three-dimensional stochastic fluctuations over an arbitrary uniform water area, a more rigorous and rational derivation of the theoretical expression of the wavefront height distribution and the second-order power spectrum is given for the first time The theoretical form of finite water depth wave surface second order spectrum.